Equivariant Sheaves

TL;DR

This paper reviews recent advances in the study of equivariant sheaves within heterotic compactifications, emphasizing their toric descriptions and the associated moduli space phenomena.

Contribution

It introduces an inherently toric approach to equivariant sheaves and discusses computational methods and moduli space phenomena in this context.

Findings

Equivariant sheaves can be described using toric geometry.

Computational techniques for these sheaves are outlined.

Moduli space phenomena related to equivariant sheaves are discussed.

Abstract

In this article we review some recent developments in heterotic compactifications. In particular we review an ``inherently toric'' description of certain sheaves, called equivariant sheaves, that has recently been discussed in the physics literature. We outline calculations that can be performed with these objects, and also outline more general phenomena in moduli spaces of sheaves.